Nonexistence results of generalized bent functions from <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msubsup><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msubsup></mml:math> to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:math>-Reference-Cited by-同舟云学术

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Nonexistence results of generalized bent functions from Z2n to Zm

Published:2023-08 Issue: Volume:198 Page:105763
ISSN:0097-3165
Container-title:Journal of Combinatorial Theory, Series A
language:en
Short-container-title:Journal of Combinatorial Theory, Series A

Author:

Leung Ka Hin^ORCID,Li Shuxing,Mao Songtao

Funder

Ministry of Education - Singapore

PIMS

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference19 articles.

1. Four decades of research on bent functions;Carlet;Des. Codes Cryptogr.,2016

2. Trigonometric Diophantine equations (On vanishing sums of roots of unity);Conway;Acta Arith.,1976

3. Full characterization of generalized bent functions as (semi)-bent spaces, their dual, and the Gray image;Hodžić;IEEE Trans. Inf. Theory,2018

4. Generalized bent functions and their properties;Kumar;J. Comb. Theory, Ser. A,1985

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